pqc/external/flint-2.4.3/fmpz_mod_poly/test/t-xgcd.c
2014-05-24 23:16:06 +02:00

167 lines
5.3 KiB
C

/*=============================================================================
This file is part of FLINT.
FLINT is free software; you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation; either version 2 of the License, or
(at your option) any later version.
FLINT is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with FLINT; if not, write to the Free Software
Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
=============================================================================*/
/******************************************************************************
Copyright (C) 2012 Sebastian Pancratz
******************************************************************************/
#include <stdio.h>
#include <stdlib.h>
#include <gmp.h>
#include "flint.h"
#include "fmpz.h"
#include "fmpz_mod_poly.h"
#include "ulong_extras.h"
int
main(void)
{
int i, result;
FLINT_TEST_INIT(state);
flint_printf("xgcd....");
fflush(stdout);
/* Generic case, most likely co-prime arguments ******************************/
/* Compare with result from GCD and check correctness */
for (i = 0; i < 1000; i++)
{
fmpz_t p;
fmpz_mod_poly_t a, b, d, g, s, t, v, w;
fmpz_init(p);
fmpz_set_ui(p, n_randtest_prime(state, 0));
fmpz_mod_poly_init(a, p);
fmpz_mod_poly_init(b, p);
fmpz_mod_poly_init(d, p);
fmpz_mod_poly_init(g, p);
fmpz_mod_poly_init(s, p);
fmpz_mod_poly_init(t, p);
fmpz_mod_poly_init(v, p);
fmpz_mod_poly_init(w, p);
fmpz_mod_poly_randtest(a, state, n_randint(state, 100));
fmpz_mod_poly_randtest(b, state, n_randint(state, 100));
fmpz_mod_poly_gcd(d, a, b);
fmpz_mod_poly_xgcd(g, s, t, a, b);
fmpz_mod_poly_mul(v, s, a);
fmpz_mod_poly_mul(w, t, b);
fmpz_mod_poly_add(w, v, w);
result = (fmpz_mod_poly_equal(d, g) && fmpz_mod_poly_equal(g, w));
if (!result)
{
flint_printf("FAIL:\n");
fmpz_mod_poly_print(a), flint_printf("\n\n");
fmpz_mod_poly_print(b), flint_printf("\n\n");
fmpz_mod_poly_print(d), flint_printf("\n\n");
fmpz_mod_poly_print(g), flint_printf("\n\n");
fmpz_mod_poly_print(s), flint_printf("\n\n");
fmpz_mod_poly_print(t), flint_printf("\n\n");
fmpz_mod_poly_print(v), flint_printf("\n\n");
fmpz_mod_poly_print(w), flint_printf("\n\n");
abort();
}
fmpz_mod_poly_clear(a);
fmpz_mod_poly_clear(b);
fmpz_mod_poly_clear(d);
fmpz_mod_poly_clear(g);
fmpz_mod_poly_clear(s);
fmpz_mod_poly_clear(t);
fmpz_mod_poly_clear(v);
fmpz_mod_poly_clear(w);
fmpz_clear(p);
}
/* Special case, arguments share a factor ********************************/
/* Compare with result from GCD and check correctness */
for (i = 0; i < 1000; i++)
{
fmpz_t p;
fmpz_mod_poly_t a, b, d, f, g, s, t, v, w;
fmpz_init(p);
fmpz_set_ui(p, n_randtest_prime(state, 0));
fmpz_mod_poly_init(a, p);
fmpz_mod_poly_init(b, p);
fmpz_mod_poly_init(d, p);
fmpz_mod_poly_init(f, p);
fmpz_mod_poly_init(g, p);
fmpz_mod_poly_init(s, p);
fmpz_mod_poly_init(t, p);
fmpz_mod_poly_init(v, p);
fmpz_mod_poly_init(w, p);
fmpz_mod_poly_randtest(a, state, n_randint(state, 100));
fmpz_mod_poly_randtest(b, state, n_randint(state, 100));
fmpz_mod_poly_randtest(f, state, n_randint(state, 20));
fmpz_mod_poly_mul(a, a, f);
fmpz_mod_poly_mul(b, b, f);
fmpz_mod_poly_gcd(d, a, b);
fmpz_mod_poly_xgcd(g, s, t, a, b);
fmpz_mod_poly_mul(v, s, a);
fmpz_mod_poly_mul(w, t, b);
fmpz_mod_poly_add(w, v, w);
result = (fmpz_mod_poly_equal(d, g) && fmpz_mod_poly_equal(g, w));
if (!result)
{
flint_printf("FAIL:\n");
fmpz_mod_poly_print(a), flint_printf("\n\n");
fmpz_mod_poly_print(b), flint_printf("\n\n");
fmpz_mod_poly_print(d), flint_printf("\n\n");
fmpz_mod_poly_print(f), flint_printf("\n\n");
fmpz_mod_poly_print(g), flint_printf("\n\n");
fmpz_mod_poly_print(s), flint_printf("\n\n");
fmpz_mod_poly_print(t), flint_printf("\n\n");
fmpz_mod_poly_print(v), flint_printf("\n\n");
fmpz_mod_poly_print(w), flint_printf("\n\n");
abort();
}
fmpz_mod_poly_clear(a);
fmpz_mod_poly_clear(b);
fmpz_mod_poly_clear(d);
fmpz_mod_poly_clear(f);
fmpz_mod_poly_clear(g);
fmpz_mod_poly_clear(s);
fmpz_mod_poly_clear(t);
fmpz_mod_poly_clear(v);
fmpz_mod_poly_clear(w);
fmpz_clear(p);
}
FLINT_TEST_CLEANUP(state);
flint_printf("PASS\n");
return 0;
}